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Base System: Problem part - 4
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Base system problem solution part - 4

Bharat Gupta is teaching live on Unacademy Plus

Bharat Gupta
Engineer by degree Mathematician by Heart. Having 22 years of teaching experience. Visit my youtube channel BHARAT GUPTA-RADIX .

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in last question 0 1 2 3 4 10 11 12 13 14 20 21 22 23 24 30 34 40 44 so the 25 th no. must be 44
Sir, in the 2nd last question --> 200th term in the 10th base will be 199, Therefore, we will convert 199 into 9th base system which comes out to be 241. So, answer should be 241 instead of 242. Pls check and clarify this. Is there anything that I am doing wrong here ?
Abhishek Mahajan
8 months ago
same thing is come in my mind when I solved. I think we are correct 200th term is 199 because of that zero at starting
1. Base System Problems part 4

2. All numbers from 1 to 200 (in decimal system) are written in base 6 and base 7 systems. How many of the numbers will The number 35A246772 is in base 9. This number when written in base rounts diaitin hoh bas10 is divisible by 8. Find the value of digit A. and base 7 notations? a. 143 b. 200 C. 157 d. 122 b. 4 c. 5 d. 6 The number (2324 X 1012)7 is converted to base 10 and then How many two digits numbers in base 9 get reversed when written in base 7 divided by 6. It leaves no remainder. What could be the value of X? a. 0 d. e. no such number possible b. 2 C. 3 d. 5 Given below is a sequence of all the natural1, 2, 3, 4, 10.11, 12. 13, 14 20, 21 22, 23, 24 w numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21,. What is the 200th term of this sequence? a. 343 are the consecutive numbers written in base 5 The twenty fifth number in the above sequence would be: a. 52 c. 25 b. 100 d. None of these b. 242 c. 235 d. 265

3. All numbers from 1 to 200 (in decimal system) are written in base 6 and base 7 systems. How many of the numbers will have a non-zero units digit in both base 6 and base 7 notations? a. 143 b. 200 c. 157 d. 122

4. All numbers from 1 to 200 (in decimal system) are written in base 6 and base 7 systems. How many of the numbers will have a non-zero units digit in both base 6 and base 7 notations? a. 143 b. 200 c. 157 d. 122 So we hove fo Calmate wo Lol uV 23+28-4=SF =

5. The number 35A246772 is in base 9. This number when written in base 10 is divisible by 8. Find the value of digit A a. 3 b. 4 C. 5 d. 6

6. The number 35A246772 is in base 9. This number when written in base 10 is divisible by 8. Find the value of digit A a. 3 b. 4 C. 5 d. 6 (4372 I 3), divby S, whan convedid -fo hue lo 2. 5 Bun

7. The number 35A246772 is in base 9. This number when written in base 10 is divisible by 8. Find the value of digit A a. 3 b. 4 C. 5 d. 6 toi

8. The number (2324 X 1012)7 is converted to base 10 and then divided by 6. It leaves no remainder. What could be the value of X? a. 0 c. 3 d. 5

9. The number (2324 X 1012)7 is converted to base 10 and then divided by 6. It leaves no remainder. What could be the value of X? a. 0 c. 3 d. 5 -6

10. How many two digits numbers in base 9 get reversed when written in base 7. a. 1 b. 4 C. 2 d. 3 e. no such number possible